Search a number
-
+
551401050510 = 23354159398387
BaseRepresentation
bin10000000011000100001…
…00000101000110001110
31221201021002100121212000
420001202010011012032
533013232132104020
61101150554053130
754560142411432
oct10014204050616
91851232317760
10551401050510
111a2936577532
128aa4711a1a6
133ccc624646b
141c98ba5a9c2
15e5234c9090
hex806210518e

551401050510 has 128 divisors (see below), whose sum is σ = 1506699532800. Its totient is φ = 143412675840.

The previous prime is 551401050467. The next prime is 551401050511. The reversal of 551401050510 is 15050104155.

551401050510 is a `hidden beast` number, since 5 + 5 + 1 + 40 + 105 + 0 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551401050511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65740537 + ... + 65748923.

It is an arithmetic number, because the mean of its divisors is an integer number (11771090100).

Almost surely, 2551401050510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551401050510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753349766400).

551401050510 is an abundant number, since it is smaller than the sum of its proper divisors (955298482290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

551401050510 is a wasteful number, since it uses less digits than its factorization.

551401050510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14383 (or 14377 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 551401050510 its reverse (15050104155), we get a palindrome (566451154665).

The spelling of 551401050510 in words is "five hundred fifty-one billion, four hundred one million, fifty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 5939 8387 11070 11878 16774 17817 25161 29695 35634 41935 50322 53451 59390 75483 83870 89085 106902 125805 150966 160353 178170 226449 243499 251610 267255 320706 343867 377415 452898 486998 534510 687734 730497 754830 801765 1031601 1132245 1217495 1460994 1603530 1719335 2063202 2191491 2264490 2434990 3094803 3438670 3652485 4382982 5158005 6189606 6574473 7304970 9284409 10316010 10957455 13148946 15474015 18568818 21914910 30948030 32872365 46422045 49810393 65744730 92844090 99620786 149431179 249051965 298862358 448293537 498103930 747155895 896587074 1344880611 1494311790 2042226113 2241467685 2689761222 4084452226 4482935370 6126678339 6724403055 10211130565 12253356678 13448806110 18380035017 20422261130 30633391695 36760070034 55140105051 61266783390 91900175085 110280210102 183800350170 275700525255 551401050510